OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 22 — Nov. 3, 2003
  • pp: 2905–2910

Reformulation of the plane wave method to model photonic crystals

Rossella Zoli, Marco Gnan, Davide Castaldini, Gaetano Bellanca, and Paolo Bassi  »View Author Affiliations


Optics Express, Vol. 11, Issue 22, pp. 2905-2910 (2003)
http://dx.doi.org/10.1364/OE.11.002905


View Full Text Article

Acrobat PDF (380 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A new formulation of the plane-wave method to study the characteristics (dispersion curves and field patterns) of photonic crystal structures is proposed. The expression of the dielectric constant is written using the superposition of two regular lattices, the former for the perfect structure and the latter for the defects. This turns out to be simpler to implement than the classical one, based on the supercell concept. Results on mode coupling effects in two-dimensional photonic crystal waveguides are studied and successfully compared with those provided by a Finite Difference Time Domain method. In particular the approach is shown able to determine the existence of �??mini-stop bands�?? and the field patterns of the various interfering modes.

© 2003 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(230.7380) Optical devices : Waveguides, channeled

ToC Category:
Research Papers

History
Original Manuscript: September 15, 2003
Revised Manuscript: October 24, 2003
Published: November 3, 2003

Citation
Rossella Zoli, Marco Gnan, Davide Castaldini, Gaetano Bellanca, and Paolo Bassi, "Reformulation of the plane wave method to model photonic crystals," Opt. Express 11, 2905-2910 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-22-2905


Sort:  Journal  |  Reset

References

  1. K. Sakoda, Optical properties of Photonic Crystals, Springer (2001).
  2. S. G. Johnson, J. D. Joannopoulos, Photonic crystals The Road from Theory to Practice, Kluwer Academic Publishers, (2001).
  3. H. Benisty, �??Modal analysis of optical guides with two-dimensional photonic band gap boundaries,�?? J. Appl. Phys. 79, 7483-7492 (1996). [CrossRef]
  4. P. R. Villeneuve, S. Fan, J. D. Joannopoulos, �??Microcavity in photonic crystals: Mode symmetry, tenability and coupling efficiency,�?? Phy. Rev. B 54, 7837-7842 (1996). [CrossRef]
  5. S. Guo, S. Albin, �??A simple plane wave implementation method for photonic crystal calculations,�?? Opt. Express 11, 167 (2003).
  6. A.Taflove, Computational electrodynamics �?? The Finite Difference Time-Domain Method, (Artech House, Norwood, MA, 1995).
  7. F. Fogli, J. Pagazaurtundua Alberte, G. Bellanca, P. Bassi, �??Analysis of Finite 2-D Photonic Bandgap Lightwave Devices using the FD-TD Method,�?? Proc. of IEEE-WFOPC 2000, Pavia, June 8-9, 236-241 (2000).
  8. M. Kafesaki, M. Agio, C. M. Soukoulis, �??Waveguides in finite-height two-dimensional photonic crystals,�?? J. Opt. Soc. Am. B 19, 2232 (2002).
  9. M. Agio, C. M. Soukoulis, �??Ministop bands in single defect photonic crystal waveguides,�?? Phys. Rev. E 64, 055603 (2001). [CrossRef]
  10. S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F . Krauss, R. Houdrè, �??Coupled-mode theory and propagation losses in photonic crystal waveguides,�?? Opt. Express 11, 1490-1496 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1490.">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-13-1490.</a>
  11. S. Olivier, M. Rattier, H. Benisty, C. Weisbuch, C. J. M. Smith, R. M. De La Rue, T. F. Krauss, U. Osterle, R. Houdrè, �??Mini-stopbands of one-dimensional system: The channel waveguide in a two-dimensional photonic crystal,�?? Phys. Rev. B. 63, 11311 (2001).
  12. C. J. M. Smith, R. M. De La Rue, M. Rattier ,S. Olivier, H. Benisty, C. Weisbuch, T. F . Krauss, R. Houdrè, U. Osterle �??Coupled guide and cavity in a two-dimensional photonic crystal,�?? Appl. Phys. Lett. 78, 1487-1489 (2001). [CrossRef]
  13. M. Qiu, K. Azizi, A. Karlsson, M. Swillo, B. Jaskorzynska, �??Numerical studies of mode gaps and coupling efficiency for line-defect waveguides in two-dimensional photonic crystals,�?? Phy. Rev. B 64, 155113 (2001). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Multimedia

Multimedia FilesRecommended Software
» Media 1: AVI (1743 KB)     
» Media 2: AVI (1718 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited